assignments
due Fri Feb 6
assignment 1
1. Find the derivatives of the following graphs:
a) y = (3 − 2x2)e − x
;
b) y = ecos(x) + cos(ex)
;
c) y = e(mx)⋅cos(nx)
, where m
and n
are constants, and ⋅
means times.
2. Evaluate the following integrals:
a)
;
b)
;
c)
;
d)
.
due Fri Feb 13
assignment 2
From Stewart's Calculus, 6E, Volume 2. Exercises from Section 8.2 (starting p501):
due Fri Feb 20
assignment 3
From Stewart's Calculus, Exercises from Section 8.3 (Trigonometric substitution):
- 6, 20, 16, 20, 24, 30, 42.
due Mon Mar 2
assignment 4
From Stewart's Calculus, Exercises from Section 8.4 (Partial Fractions)
due Fri Feb 6
Quiz 1
Exercises from Section 8.2 (Trigonometric Integrals):
Exercises from Section 8.3 (Trigonometric substitution):
Exercise from Section 8.4 (Partial Fractions):
due Fri Apr 10
assignment 5
Laboratory Project: Running Circles Around Circles. (At the end of Section 11.1 on Parametric Equations.)
This project is closely related to the toy
Spirograph.
Please use the following
Mathematica notebook, located
here, as a basis for your work.
Note that the notebook has to be saved onto your own login area and then opened with Mathematica afterwards. Furthermore, make sure the file is saved as .nb as the file type not .txt .
You can also use the
SAGE notebook, located
here. Please save this file and then use SAGE to start an untitled worksheet, and then you upload the file to the worksheet.
due Wed Apr 22
assignment 6
Exercises from Stewart's Calculus Section 11.2 (Calculus with Parametric Equations)
- 22, 28, 34. Please note that you can use SAGE or MATHEMATICA to aid you in graphing the relevant curves. However, if you want full marks for a question you must give all your working as well as your calculations.
Laboratory Project: Bezier Curves. (At the end of Section 11.2.).
Notebooks:
- The SAGE notebook is located here;
- The MATHEMATICA notebook is located here.
Review questions (Unmarked)
These are the kind of problems that will have to be solved if you want at least a C grade in the final exam. Note that worked solutions for these odd numbered questions are available in the student companion book available in the library.
Volumes (Sec. 6.2)
Volumes by Cylindrical shell (Sec. 6.3)
Integration by parts (Sec. 8.1)
Trig. integrals (Sec. 8.2)
Trig substitution (Sec. 8.3)
Partial fractions (Sec. 8.4)
Calculus with parametric equations (Sec. 11.2)
Areas & Lengths in Polar Coordinates (Sec. 11.4)
Conics (Sec. 11.5)
Sequences (Sec. 12.1)
Series (Sec. 12.2)
Comparison tests (Sec. 12.4)
Power Series (Sec. 12.8)
Exam
Final grade
